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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 620 · 40 sums
TalentJR

The method (Threes make cubes): Cube: n × n × n. Cube root: the number that, used three times, gives the cube. Units digits: 1→1, 2→8, 3→7, 4→4, 5→5, 6→6, 7→3, 8→2, 9→9, 0→0 — use them to guess cube roots. Make a perfect cube: break into primes; multiply by what completes each group of three (or divide by what is left over). A big cube of edge a cut into small cubes of edge b gives (a ÷ b)³ small cubes.

NameDateTime takenScore ___ / 40
  1. 1.What is ∛64? =
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.What is 13³? =
  5. 5.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  6. 6.What is 18³? =
  7. 7.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 1331 (b) 1367 (c) 1356
  9. 9.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 354 (b) 460 (c) 343
  11. 11.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  15. 15.What is ∛9261? =
  16. 16.What is ∛8000? =
  17. 17.What is 6³? =
  18. 18.What is ∛2744? =
  19. 19.What is ∛10648? =
  20. 20.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 28 (b) 27 (c) 54
  26. 26.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.Which of these is a perfect cube? (a) 1970 (b) 2028 (c) 1728
  29. 29.What is ∛5832? =
  30. 30.What is 17³? =
  31. 31.What is ∛15625? =
  32. 32.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is ∛6859? =
  34. 34.Which of these is a perfect cube? (a) 1000 (b) 1088 (c) 1240
  35. 35.What is 14³? =
  36. 36.What is 2³? =
  37. 37.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  38. 38.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is 15³? =
  40. 40.What is 9³? =

Answer key

  1. 4
  2. 3
  3. 6
  4. 2197
  5. 2
  6. 5832
  7. 3
  8. 1331
  9. 9
  10. 343
  11. 9
  12. 5
  13. 64
  14. 7
  15. 21
  16. 20
  17. 216
  18. 14
  19. 22
  20. 2
  21. 16
  22. 17
  23. 5
  24. 8
  25. 27
  26. 12
  27. 8
  28. 1728
  29. 18
  30. 4913
  31. 25
  32. 216
  33. 19
  34. 1000
  35. 2744
  36. 8
  37. 11
  38. 216
  39. 3375
  40. 729

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